{"product_id":"9781786301581","title":"Fractional Dynamics on Networks and Lattices","description":"\u003ch1\u003eFractional Dynamics on Networks and Lattices\u003c\/h1\u003e\u003ch3\u003eThomas Michelitsch | Alejandro Perez Riascos | Bernard Collet | Andrzej Nowakowski | Franck Nicolleau\u003c\/h3\u003e\u003cdiv\u003e\u003cb\u003eTechnology \u0026amp; Engineering \/ Drafting \u0026amp; Mechanical Drawing\u003c\/b\u003e\u003c\/div\u003e\u003cbr\u003e\u003cdiv\u003e\n\u003cp\u003eThis book analyzes stochastic processes on networks and regular structures such as lattices by employing the Markovian random walk approach.\u003c\/p\u003e \u003cp\u003ePart 1 is devoted to the study of local and non-local random walks. It shows how non-local random walk strategies can be defined by functions of the Laplacian matrix that maintain the stochasticity of the transition probabilities. A major result is that only two types of functions are admissible: type (i) functions generate asymptotically local walks with the emergence of Brownian motion, whereas type (ii) functions generate asymptotically scale-free non-local “fractional” walks with the emergence of Lévy flights.\u003c\/p\u003e \u003cp\u003eIn Part 2, fractional dynamics and Lévy flight behavior are analyzed thoroughly, and a generalization of Pólya's classical recurrence theorem is developed for fractional walks. The authors analyze primary fractional walk characteristics such as the mean occupation time, the mean first passage time, the fractal scaling of the set of distinct nodes visited, etc. The results show the improved search capacities of fractional dynamics on networks.\u003c\/p\u003e\n\u003c\/div\u003e\u003cdiv\u003e \u003cp\u003e\u003cb\u003eThomas Michelitsch\u003c\/b\u003e is a CNRS Senior Research Scientist at the Institut Jean le Rond d'Alembert, Sorbonne University, France.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAlejandro Pérez Riascos\u003c\/b\u003e is a Researcher and Associate Professor at the Institute of Physics at the Universidad Nacional Autonoma de México.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eBernard Collet\u003c\/b\u003e is Emeritus Professor at the Institut Jean le Rond d'Alembert, Sorbonne University, France.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAndrzej Nowakowski\u003c\/b\u003e is a Lecturer at the University of Sheffield, UK.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eFranck Nicolleau\u003c\/b\u003e is a Senior Lecturer at the University of Sheffield, UK, and Head of the Sheffield Fluid Mechanics Group.\u003c\/p\u003e\n\u003c\/div\u003e\u003cbr\u003e\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublication Date: \u003c\/td\u003e\n\u003ctd\u003e30 April 2019\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublisher: \u003c\/td\u003e\n\u003ctd\u003eWiley\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eImprint: \u003c\/td\u003e\n\u003ctd\u003eWiley-ISTE\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eISBN-13: \u003c\/td\u003e\n\u003ctd\u003e9781786301581\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eFormat: \u003c\/td\u003e\n\u003ctd\u003eHardback\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePage Count: \u003c\/td\u003e\n\u003ctd\u003e336\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eWeight (oz): \u003c\/td\u003e\n\u003ctd\u003e21.6\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":44379083866252,"sku":"9781786301581","price":160.16,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9781786301581.jpg?v=1780141478","url":"https:\/\/lateknightbooks.com\/products\/9781786301581","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}